Using the properties of exponents which expression is equivalent to x^1/6•x^1/6

Answer 1

Using the properties of exponents, specifically the product of powers property, we can simplify the expression \( x^{1/6} \cdot x^{1/6} \).

The product of powers property states that when multiplying two powers with the same base, you can add their exponents:

\[ x^a \cdot x^b = x^{a+b} \]

In this case, we have:

\[ x^{1/6} \cdot x^{1/6} = x^{(1/6) + (1/6)} = x^{2/6} = x^{1/3} \]

Thus, the expression \( x^{1/6} \cdot x^{1/6} \) is equivalent to \( x^{1/3} \).